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Finding the Fourth Proportional to 5,627.63, 7,766.12 and 3,143.63

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Solution

The fourth proportional to 5,627.63, 7,766.12 and 3,143.63 is: 4,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.63 : 7,766.12 = 3,143.63 : x
  2. Step 2: Convert to fraction form
    5,627.63/7,766.12 = 3,143.63/x
  3. Step 3: Cross multiply
    5,627.63x = 7,766.12 × 3,143.63
  4. Step 4: Simplify right side
    5,627.63x = 24,413,776.84
  5. Step 5: Solve for x
    x = 24,413,776.84/5,627.63
  6. Step 6: Final answer
    x = 4,338.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.